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Finding the Fourth Proportional to 11,342.18, 17,021 and 3,946.62

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Solution

The fourth proportional to 11,342.18, 17,021 and 3,946.62 is: 5,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.18 : 17,021 = 3,946.62 : x
  2. Step 2: Convert to fraction form
    11,342.18/17,021 = 3,946.62/x
  3. Step 3: Cross multiply
    11,342.18x = 17,021 × 3,946.62
  4. Step 4: Simplify right side
    11,342.18x = 67,175,419.02
  5. Step 5: Solve for x
    x = 67,175,419.02/11,342.18
  6. Step 6: Final answer
    x = 5,922.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.